825311585113528 has 8 divisors (see below), whose sum is σ = 1547459222087880. Its totient is φ = 412655792556760.

The previous prime is 825311585113517. The next prime is 825311585113579.

825311585113528 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×825311585113528² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51581974069588 + ... + 51581974069603.

It is an arithmetic number, because the mean of its divisors is an integer number (193432402760985).

Almost surely, 2^{825311585113528} is an apocalyptic number.

It is an amenable number.

825311585113528 is a deficient number, since it is larger than the sum of its proper divisors (722147636974352).

825311585113528 is a wasteful number, since it uses less digits than its factorization.

825311585113528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103163948139197 (or 103163948139193 counting only the distinct ones).

The product of its digits is 11520000, while the sum is 58.

The spelling of 825311585113528 in words is "eight hundred twenty-five trillion, three hundred eleven billion, five hundred eighty-five million, one hundred thirteen thousand, five hundred twenty-eight".